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» A Result in Dual Ramsey Theory
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TCS
2010
13 years 2 months ago
Factorization forests for infinite words and applications to countable scattered linear orderings
The theorem of factorization forests of Imre Simon shows the existence of nested factorizations -- `a la Ramsey -- for finite words. This theorem has important applications in sem...
Thomas Colcombet
PAMI
2012
11 years 10 months ago
M-Idempotent and Self-Dual Morphological Filters
—In this paper, we present a comprehensive analysis of self-dual and m-idempotent operators. We refer to an operator as m-idempotent if it converges after m iterations. We focus ...
Nidhal Bouaynaya, Mohammed Charif-Chefchaouni, Dan...
FCT
2007
Springer
13 years 11 months ago
Factorisation Forests for Infinite Words
The theorem of factorisation forests shows the existence of nested factorisations -- a la Ramsey -- for finite words. This theorem has important applications in semigroup theory, a...
Thomas Colcombet
SIGACT
2008
103views more  SIGACT 2008»
13 years 7 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke
JCT
2010
63views more  JCT 2010»
13 years 6 months ago
Cyclic sieving, promotion, and representation theory
We prove a collection of conjectures of D. White [37], as well as some related conjectures of Abuzzahab-Korson-Li-Meyer [1] and of Reiner and White [21], [37], regarding the cyclic...
Brendon Rhoades